A class of meromorphically multivalent functions defined by means of a linear operator

Let Sigma(p) denote the class of functions of the form: f(z) = z(-p) + Sigma(infinity)(n=1)a(n)z(n-p) (n epsilon N = {1, 2, 3, ...}), which are analytic in the punctured open unit disk U(0) = {z : 0 < vertical bar z vertical bar < 1}. Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we introduce a new subclass M(p)(a, c, lambda; h) of Sigma(p) and investigate some properties for the class M(p)(a, c, lambda; h). (C) 2008 Elsevier Inc. All rights reserved.